Part of the 1994–95 bowl schedule, it was played on New Year's Eve at the Alamodome in San Antonio, Texas.
Washington State had the nation's second-ranked defense, and held Baylor to 151 yards of total offense.
[3][4] The Cougars scored in the first quarter on a one-yard run by halfback Kevin Hicks to take a 7–0 lead.
With under two minutes left in the first half, Tony Truant kicked a 37-yard field goal to put WSU up by ten at halftime.
Washington State was held scoreless in the second half, but won 10–3;[3][4] they improved to 8–4 and climbed to #21 in the final AP poll Baylor's next bowl appearance was sixteen years later in 2010.